U.S. oil production also continued at a record pace of 10.9 million barrels a day, a level first reached this month. That is more oil than produced by every other country in the world, except for Russia, which does not belong to OPEC and pumps just over 11 million barrels a day. U.S. refineries also took in a record 18 million barrels of oil.

To put U.S. exports in context, the U.S. was able to export more oil per day last week than most OPEC countries drilled.

But of the largest producing OPEC countries, only Saudi Arabia and Iraq are exporting more oil than the U.S. did last week, according to John Kilduff, partner with Again Capital. In June, he said Saudi Arabia exported about 7.5 million barrels a day and southern Iraq exported 3.6 million. Iran exports about 2.4 million barrels a day, and the U.S. is seeking to remove those barrels from the market through sanctions.

"The fact is we're loading crude oil for export across the Texas Gulf Coast. The biggest issue that exporters are facing is getting oil from the Permian basin to the Gulf Coast because of the lack of pipeline capacity," said Andrew Lipow, president of Lipow Oil Associates.

The U.S. weekly exports fluctuate dramatically, but if they stay at this level, the U.S. would be just behind Canada, which sends about 3.5 million barrels to the U.S. each day, the bulk of of its exports. As U.S. production has grown, U.S. imports have decreased. The U.S. imported a relatively high 8.4 million barrels per day last week.

The 3 million barrel level may not be sustainable just yet. Analysts said some of the oil appears to have been pulled from inventories, which fell an unusually large amount last week.

“We’ve gone from zero to 3 million barrels a day in terms of crude oil exports in just over a year. It’s been a steady climb. This puts tremendous pressure on U.S. crude oil supplies despite the shale boom if this is going to persist,” said Kilduff. “The exports and the record refinery run combined created a massive draw down of nearly 10 million barrels.”

Note: Exports includes oil and refined products

The previous record for oil exports was 2.56 million barrels a day, a level reached in May.